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ankoles [38]
4 years ago
6

Two puppies which are 520 feet apart are running towards each other. Their speeds are 4 and 5 feet per second. How much time wil

l elapse before they are 250 feet apart from each other?
Mathematics
2 answers:
SashulF [63]4 years ago
5 0

Answer:

30 seconds

Step-by-step explanation:

The first puppy is running at a rate of 4 feet per second; letting t represent the number of seconds, this is 4t.

The second puppy is running at a rate of 5 feet per second; this is 5t.

In order for them to be 250 feet apart, they would have run 520-250 = 270 feet.

Together their combined distances will be 4t+5t, and it will equal 270:

4t+5t = 270

9t = 270

Divide both sides by 9:

9t/9 = 270/9

t = 30

It would take 30 seconds.

The first puppy would travel 4(30) = 120 feet, and the second puppy would travel 5(30) = 150 feet; this is a total of 120+150 = 270 feet.  This leaves them 520-270 = 250 feet apart.

Jlenok [28]4 years ago
3 0

Answer:

30 seconds

Step-by-step explanation:

Find the total distance needed to be traveled. 520-250 = 270

Find combined rate. 4+5=9

Divide distance needed to be traveled by combine rate to get answer.

270/9 = 30.

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For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.

<h3>How to apply systems of linear equations in real life equations</h3>

In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:

<em>y = x - 5</em>     (1)

<em>0.5 · y =</em> <em>z</em>    (2)

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The solution of the system of <em>linear</em> equations is described below:

<em>x =</em> 2503, <em>y =</em> 2498, <em>z =</em> 1249

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. \blacksquare

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

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